1000066331 has 12 divisors (see below), whose sum is σ = 1102041192. Its totient is φ = 906840000.

The previous prime is 1000066283. The next prime is 1000066337. The reversal of 1000066331 is 1336600001.

It is not a de Polignac number, because 1000066331 - 2²² = 995872027 is a prime.

It is a super-2 number, since 2×1000066331² = 2000265332799603122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000066337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38216 + ... + 58826.

It is an arithmetic number, because the mean of its divisors is an integer number (91836766).

Almost surely, 2^1000066331 is an apocalyptic number.

1000066331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000066331 is a deficient number, since it is larger than the sum of its proper divisors (101974861).

1000066331 is a wasteful number, since it uses less digits than its factorization.

1000066331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21034 (or 21023 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1000066331 is about 31623.8253694900. The cubic root of 1000066331 is about 1000.0221098445.

Adding to 1000066331 its reverse (1336600001), we get a palindrome (2336666332).

The spelling of 1000066331 in words is "one billion, sixty-six thousand, three hundred thirty-one".